Answer:
the answer is c: s=40(1.1)^m, s=20(1.15)^m
Step-by-step explanation:
in option A, (0.10) and (0.15) make it exponential decay rather than exponential growth like it's supposed to be.
In option B, the rate of growth is supposed to be on the exponent, not the sales themselves in the equation
option c is correct I just finished the test
option d has the same mistake as a and b combined
Answer:
hour
Step-by-step explanation:
40000 = 1 second
Multiply both sides by 60 to see how much in one minute
2,400,000 = 1 minute
If the length, breadth and height of the box is denoted by a, b and h respectively, then V=a×b×h =32, and so h=32/ab. Now we have to maximize the surface area (lateral and the bottom) A = (2ah+2bh)+ab =2h(a+b)+ab = [64(a+b)/ab]+ab =64[(1/b)+(1/a)]+ab.
We treat A as a function of the variables and b and equating its partial derivatives with respect to a and b to 0. This gives {-64/(a^2)}+b=0, which means b=64/a^2. Since A(a,b) is symmetric in a and b, partial differentiation with respect to b gives a=64/b^2, ==>a=64[(a^2)/64}^2 =(a^4)/64. From this we get a=0 or a^3=64, which has the only real solution a=4. From the above relations or by symmetry, we get b=0 or b=4. For a=0 or b=0, the value of V is 0 and so are inadmissible. For a=4=b, we get h=32/ab =32/16 = 2.
Therefore the box has length and breadth as 4 ft each and a height of 2 ft.
Answer:
Horizontal line at 2, x(-3,-2,-1,0,1,2,3), y(2)
Step-by-step explanation:
The function has no slope.